Hyperalgebraic primitive elements for relational algebraic and topological algebraic models

Using nonstandard methods, we generalize the notion of an algebraic primitive element to that of an hyperalgebraic primitive element, and show that under mild restrictions, such elements can be found infinitesimally close to any given element of a topological field.Presented by Robert Goldblatt     

Varieties of Monadic Heyting Algebras. Part III

This paper is the concluding part of [1] and [2], and it investigates the inner structure of the lattice (MHA) of all varieties of monadic Heyting algebras. For every n , we introduce and investigate varieties of depth n and cluster n, and present two partitions of (MHA), into varieties of depth n, and into varieties of cluster n. We pay a special attention to the lower part of (MHA) and investigate finite and critical varieties of monadic Heyting algebras in detail. In particular, we prove that there exist exactly thirteen critical varieties in (MHA) and that it is decidable whether a given variety of monadic Heyting algebras is finite or not. The representation of (MHA) is also given. All these provide us with a satisfactory insight into (MHA). Since (MHA) is dual to the lattice NExtMIPC of all normal extensions of the intuitionistic modal logic MIPC, we also obtain a clearer picture of the lattice structure of intuitionistic modal logics over MIPC.     

Towards a topological philosophy

This article examines the use of mathematical concepts in philosophy, focusing on topology, which may be viewed as a modern supplement to geometry. We show that Plato and Parmenides were already employing geometric ideas in their research, and discuss three examples of the application of topology to philosophical problems: the first concerns the analysis of the Cartesian distinction between res extensa and res cogitans, the second the ontology of possible worlds of Wittgenstein's Tractatus, and the third Leibniz's monadology. We also consider the role of topology in mathematical explanations of the sort found in science, arguing that it can perform a role in philosophy that is of comparable importance.     

I through thou,and we through I: Dietrich von Hildebrand and Karol Wojtyla on the personal foundation of community

This article is an attempt to scrutinize the phenomenological social ontology of Dietrich von Hildebrand and Karol Wojtyla by drawing on the particular role and nature of interpersonal relatedness and second-person engagement in the constitution of first-person-plural perspective. Both Hildebrand and Wojtyla endorse the unique value of the person and personality as the foundational principle for different dimensions of community, including the face-to-face “I-thou” way of being together and more complex, even anonymous, we communities. Both philosophers deny the constitutive primacy of first-person plural over first-person singular, the only exception being the mystical body of Christ when “I” is conditioned and formed by “we.” Moreover, what they have in common is the critical reappraisal of one stream in the phenomenological movement, first and foremost associated with Max Scheler's conception of the possibility of a “collective person.” Drawing on Hildebrand's and Wojtyla's accounts, the article endorses the view regarding the relational character of “I,” “thou,” and “we,” claiming that “we” hinges on an experiential dimension of “I.”     

THE MACHINE IN THE GHOST: TRANSHUMANISM AND THE ONTOLOGY OF INFORMATION

An ontology of information belies our common intuitions about reality today and animates and governs both explicit scholarly study in philosophy and the sciences as well as the ideologies that are growing out of them. Transhumanism is one such technoscientific ideology that holds to a very specific ontology of information which need not be the only one on offer. This article argues that the transhumanist ontology of information exhibits gnostic and docetic religious overtones in it and that it devalues physical existence. At the same time, despite claiming a rejection of supernature, hypothetical transhumanist practices (such as mind-uploading) posit the infosphere as a kind of supernatural realm that is often set in opposition to the natural world. This article presents a critique of transhumanist conceptions of information and offers an alternative ontology of information that more adequately accounts for the distinction between the natural and supernatural as well as the integrity of the physical world.     

Mind-body dualism and the compatibility of medical methods

In this paper we analyse some misleading theses concerning the oldcontroversy over the relation between mind and body presented incontemporary medical literature. We undertake an epistemologicalclarification of the axiomatic structure of medical methods. Thisclarification, in turn, requires a precise philosophical explanation ofthe presupposed concepts. This analysis will establish two results: (1)that the mind-body dualism cannot be understood as a kind of biologicalvariation of the subject-object dichotomy in physics, and (2) that thethesis of the incompatibility between somatic and psychosomatic medicineheld by naturalists and others lacks solid epistemologicalfoundation.     

陈霖的拓扑性质知觉理论

2005年第四期“Visual Cognition”期刊专题讨论了拓扑知觉理沧,包括陈霖的主题文章、对这篇文章的评论以及陈霖对这些评论的答复。本文从三个方面介绍了陈霖的拓扑性质知觉理沦：拓扑性质的早期知觉、知觉物体的定义以及拓扑性质知觉理论的意义。     

Eschatology: Eternal Now or Cosmic Future?

Paul Tillich's eternal now is the ground from which all things emerge and perish in each and every moment. A Tillichean eschatology involves the gathering of all things finite into the eternity of the present moment, into God. Salvation is present moment. But is the “eternal now” enough? This essay offers biblical and theological critiques of Tillich's present eschatology and posits an eschatology that combines Tillich's “eternal now” with Wolfhart Pannenberg's “end‐oriented eschatology.” The result is an eschatology that recognizes the eternal now in which all things (including all time) belong to God yet with an eye toward the God‐given possibilities of the next moment, the future. The end of being is not cessation; rather, it is the fulfillment of time, the consummation of all things.     

中国古代"恶"之存在论与价值论探讨

从存在论角度来说,人的本质属性——自然属性与社会属性构成中国古代性恶论的前提和根据。从价值论层面而言,古代性恶论者主张抑恶扬善或存善除恶。这就导致古代性恶论的悖论,一方面在存在论上肯定"恶"有存在的事实和根据,另方面在价值论上却否定"恶"的正当性和合理性。正是因为性恶论者最终的价值取向是使人成善、为善,性恶论和性善论在善恶问题上是殊途同归的:在存在论意义上是殊途——性恶论者道性恶而性善论者道性善,而在价值论意义上是同归——为善。但在去"恶"、除"恶"的正统思想之外,宋明时期的功利学派却不同程度地肯定了"恶"的正当性和合理性。     

The ontology of intentionality I: the dependence ontological account of order: mediate and immediate moments and pieces of dependent and independent objects

This is the first of three essays which use Edmund Husserl's dependence ontology to formulate a non-Diodorean and non-Kantian temporal semantics for two-valued, first-order predicate modal languages suitable for expressing ontologies of experience (like physics and cognitive science). This essay's primary desideratum is to formulate an adequate dependence-ontological account of order. To do so it uses primitive (proper) part and (weak) foundation relations to formulate seven axioms and 28 definitions as a basis for Husserl's dependence ontological theory of relating moments. The essay distinguishes between dependence v. independence, pieces v. moments, mediate v. immediate pieces and moments, maximal v. non-maximal pieces, founded v. unfounded qualities, integrative v. disintegrative dependence, and defines the concepts of the completion of an object, the adumbrational equivalence relation of objects, moments of unity which unify objects, and relating moments which relate objects. The eight theorems [CUT90]-[CUT97] show that relating moments of unity provide an adequate account of order in terms of primitive (proper) part and (weak) foundation relations.